- #1

- 181

- 4

## Homework Statement

I want to integrate

∫-e^(2x)*sin(e^x) dx

## Homework Equations

∫uv'dx=uv - ∫u'v

## The Attempt at a Solution

u = e^2x

du = 2*e^2x

dv = sin(e^x)

v = -cos(e^x)/e^x

e^(x)*cos(e^x) - 2∫e^(x)*cos(e^x) dx

e^(x)*cos(e^x) - 2*sin(e^x) + c

The solution I have doesn't have the two in the 2nd term of the answer. Not sure what I did wrong.